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Finding the Fourth Proportional to 3,811.38, 5,715.72 and 1,729.64

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Solution

The fourth proportional to 3,811.38, 5,715.72 and 1,729.64 is: 2,593.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.38 : 5,715.72 = 1,729.64 : x
  2. Step 2: Convert to fraction form
    3,811.38/5,715.72 = 1,729.64/x
  3. Step 3: Cross multiply
    3,811.38x = 5,715.72 × 1,729.64
  4. Step 4: Simplify right side
    3,811.38x = 9,886,109.36
  5. Step 5: Solve for x
    x = 9,886,109.36/3,811.38
  6. Step 6: Final answer
    x = 2,593.84

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